h-net: hqc2238

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(5,6,2)
Vertex degrees	{4,4,3,4,4}
2D vertex symbol	{10.10.10.10}{10.4.4.10}{10.4.4}{4.4.4.4}{4.4.4.4}
Delaney-Dress Symbol	<2238.2:13:1 3 5 7 9 11 13,2 4 5 8 13 10 12,1 2 3 6 7 8 9 10 11 12 13:10 4,4 4 3 4 4>
Dual net	hqc2146

Derived s-nets

s-nets with faithful topology

19 records listed.

Image	s-net name	Other names	Space group	Space group number	Symmetry class	Vertex degree(s)	Vertices per primitive unit cell	Transitivity (Vertex, Edge)
	sqc5908		Fmmm	69	orthorhombic	{3,4,4,4,4}	14	(5,6)
	sqc11580		P4/mmm	123	tetragonal	{4,4,3,4,4}	28	(5,6)
	sqc11402		I4122	98	tetragonal	{4,4,3,4,4}	28	(5,7)
	sqc11421		I4122	98	tetragonal	{4,4,3,4,4}	28	(5,7)
	sqc11424		Fddd	70	orthorhombic	{4,4,3,4,4}	28	(5,7)
	sqc11427		Fddd	70	orthorhombic	{4,4,3,4,4}	28	(5,7)
	sqc11430		Fddd	70	orthorhombic	{4,4,3,4,4}	28	(5,7)
	sqc11572		I4122	98	tetragonal	{4,4,3,4,4}	28	(5,7)
	sqc11577		Fddd	70	orthorhombic	{4,4,3,4,4}	28	(5,7)
	sqc11578		Fddd	70	orthorhombic	{4,4,3,4,4}	28	(5,7)
	sqc11581		I4122	98	tetragonal	{4,4,3,4,4}	28	(5,7)
	sqc11591		I4122	98	tetragonal	{4,4,3,4,4}	28	(5,7)
	sqc1080		Pmmm	47	orthorhombic	{3,4,4,4,4}	7	(5,6)
	sqc5705		P4222	93	tetragonal	{3,4,4,4,4}	14	(5,6)
	sqc5706		P4222	93	tetragonal	{4,3,4,4,4}	14	(5,6)
	sqc5909		Cmma	67	orthorhombic	{4,3,4,4,4}	14	(5,6)
	sqc5950		P4222	93	tetragonal	{4,3,4,4,4}	14	(5,6)
	sqc6106		Cmma	67	orthorhombic	{3,4,4,4,4}	14	(5,6)

s-nets with edge collapse

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Derived U-tilings

10 records listed.

Image	U-tiling name	PGD Subgroup	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol	P net	G net	D net
	UQC5643	*22222a	(5,6,2)	{4,4,3,4,4}	{10.10.10.10}{10.4.4.10}{10.4.4}...	No s‑net	sqc11572	No s‑net
	UQC5644	*22222a	(5,6,2)	{4,4,3,4,4}	{10.10.10.10}{10.4.4.10}{10.4.4}...	sqc11275	sqc11402	sqc5705
	UQC5645	*22222a	(5,6,2)	{4,4,3,4,4}	{10.10.10.10}{10.4.4.10}{10.4.4}...	No s‑net	sqc11591	No s‑net
	UQC5646	*22222b	(5,6,2)	{4,4,3,4,4}	{10.10.10.10}{10.4.4.10}{10.4.4}...	sqc5623	sqc11430	sqc1080
	UQC5647	*22222b	(5,6,2)	{4,4,3,4,4}	{10.10.10.10}{10.4.4.10}{10.4.4}...	sqc5908	sqc11427	sqc1080
	UQC5648	*22222b	(5,6,2)	{4,4,3,4,4}	{10.10.10.10}{10.4.4.10}{10.4.4}...	sqc1080	sqc11578	sqc6106
	UQC5649	*22222b	(5,6,2)	{4,4,3,4,4}	{10.10.10.10}{10.4.4.10}{10.4.4}...	sqc1080	sqc11424	sqc5909
	UQC5650	*22222b	(5,6,2)	{4,4,3,4,4}	{10.10.10.10}{10.4.4.10}{10.4.4}...	No s‑net	sqc11577	No s‑net
	UQC5651	*22222a	(5,6,2)	{4,4,3,4,4}	{10.10.10.10}{10.4.4.10}{10.4.4}...	sqc11580	sqc11581	sqc5950
	UQC5652	*22222a	(5,6,2)	{4,4,3,4,4}	{10.10.10.10}{10.4.4.10}{10.4.4}...	sqc11284	sqc11421	sqc5706

Symmetry-lowered hyperbolic tilings

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